Finding the Third Proportional to 9,427.85 and 13,978.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,427.85 : 13,978.69 = 13,978.69 : x
2. Step 2: Convert to fraction form
   9,427.85/13,978.69 = 13,978.69/x
3. Step 3: Cross multiply
   9,427.85x = 13,978.69 × 13,978.69
4. Step 4: Simplify right side
   9,427.85x = 195,403,704.22
5. Step 5: Solve for x
   x = 195,403,704.22/9,427.85
6. Step 6: Final answer
   x = 20,726.22